# A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be

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A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be

(A)  1

(B)  2

(C)  3/2

(D)  4

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Correct option (D) 4

Let the vertices of the triangle be (cosθi , sinθi), i = 1, 2, 3

⇒ Orthocentre is ((cosθ1 + cosθ2 + cosθ3),(sinθ1 + sinθ2 + sinθ3))

⇒ Distance between the orthocentre and the circumcentre is